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Finding the Fourth Proportional to 5,525.91, 7,628.49 and 3,638.70

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Solution

The fourth proportional to 5,525.91, 7,628.49 and 3,638.70 is: 5,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,525.91 : 7,628.49 = 3,638.70 : x
  2. Step 2: Convert to fraction form
    5,525.91/7,628.49 = 3,638.70/x
  3. Step 3: Cross multiply
    5,525.91x = 7,628.49 × 3,638.70
  4. Step 4: Simplify right side
    5,525.91x = 27,757,786.56
  5. Step 5: Solve for x
    x = 27,757,786.56/5,525.91
  6. Step 6: Final answer
    x = 5,023.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.